$\begin{array}{1 1}(A)\;120\\(B)\;96\\(C)\;24\\(D)\;100\end{array} $

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The digits are 2,3,4,7

We have four options for the first digit

We have three options for the second digit

We have two options for the third digit

We have one options for the fourth digit

The total no of four digits number formed =$4\times 3\times 2\times 1$

$\Rightarrow 24$

Hence (C) is the correct answer.

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